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3 years ago

-75x + 200 represents a bank account balance after x months. What is the initial amount in the

1 answer:

3 0

The initial amount was 200 dollars.

If you sub in 0, you get the amount at 0 months.

Rate of change is the slope. You are losing -75 a month, which is the rate of change.

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Future value of 10% savings from earnings of1470 earning 3.5% annual interest compounded monthly for 25 years

Leviafan [203]

hmmm so let's see first how much is 10% of the earnings of 1470.

$\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{10\% of 1470}}{\left( \cfrac{10}{100} \right)1470}\implies 147$

so then

$~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$147\\ r=rate\to 3.5\%\to \frac{3.5}{100}\dotfill &0.035\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &25 \end{cases}$

$A=147\left(1+\frac{0.035}{12}\right)^{12\cdot 25}\implies A=147\left( \frac{2407}{2400} \right)^{300}\implies \boxed{A\approx 352.19}$

8 0

2 years ago

Suppose you earn 3% on a $1,200 deposit for 5 years. Explain how the simple interest is affected if the rate is increased by 1%.

coldgirl [10]

$\bf ~~~~~~ \textit{Simple Interest Earned}\\\\
I = Prt\qquad 
\begin{cases}
I=\textit{interest earned}\\
P=\textit{original amount deposited}\to& \$1200\\
r=rate\to 3\%\to \frac{3}{100}\to &0.03\\
t=years\to &5
\end{cases}
\\\\\\
I=1200(0.03)(5)\implies \boxed{I=180}\\\\
-------------------------------$

$\bf ~~~~~~ \textit{Simple Interest Earned increased by 1\%}\\\\
I = Prt\qquad 
\begin{cases}
I=\textit{interest earned}\\
P=\textit{original amount deposited}\to& \$1200\\
r=rate\to 4\%\to \frac{4}{100}\to &0.04\\
t=years\to &5
\end{cases}
\\\\\\
I=1200(0.04)(5)\implies \boxed{I =240}\\\\
-------------------------------$

$\bf ~~~~~~ \textit{Simple Interest Earned increased by 1 year}\\\\
I = Prt\qquad 
\begin{cases}
I=\textit{interest earned}\\
P=\textit{original amount deposited}\to& \$1200\\
r=rate\to 3\%\to \frac{3}{100}\to &0.03\\
t=years\to &6
\end{cases}
\\\\\\
I=1200(0.03)(6)\implies \boxed{I =216}$

8 0

4 years ago

1. An integer is 3 less than 5 times another. If the product of the two integers is 36, then find the integers.

melisa1 [442]

Answer:

3 and 12

Step-by-step explanation:

3*5=15 and 15-3=12. The product of 3 and 12 is 36.

5 0

3 years ago

Read 2 more answers

Please Help Me ASAP.

Evgesh-ka [11]

Answer:

Step-by-step explanation:

If y= x + 4 then plug it into the other equation where the y is. So 5x + x +4=22. Then solve.

for x for y

5x + x + 4=22 y=x +4

6x+4=22 y=3+4

22-4=18 y=7

6x = 18

18/6=3

x=3 so, x=3 and y=7

7 0

3 years ago

What is (4x6) x (3-2)

Iteru [2.4K]

Answer: 24

Step-by-step explanation: do 4 times 6 first then 3-2 and then times it and you get 24

5 0

3 years ago